Multicritical microscopic spectral correlators of Hermitian and complex matrices

DOI10.1016/S0550-3213(98)00143-6zbMath0949.82020arXivhep-th/9712006MaRDI QIDQ1383547

U. Magnea, Poul H. Damgaard, Gernot Akemann, Shinsuke M. Nishigaki

Publication date: 21 April 1998

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9712006

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (9)

Limits for circular Jacobi beta-ensembles ⋮ Universal behavior for averages of characteristic polynomials at the origin of the spectrum ⋮ The QCD Dirac operator spectrum and finite-volume scaling ⋮ Logarithmic universality in random matrix theory ⋮ Topology and the Dirac operator spectrum in finite-volume gauge theories ⋮ Spectral sum rules of the Dirac operator and partially quenched chiral condensates. ⋮ On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble ⋮ Painlevé II in random matrix theory and related fields ⋮ New multicritical random matrix ensembles

Cites Work

• Estimates of the Hermite and the Freud polynomials
• Fredholm determinants, differential equations and matrix models
• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• On spin and matrix models in the complex plane
• The spectrum of the Dirac operator near zero virtuality for \(N_ c=2\) and chiral random matrix theory.
• Nonuniversal correlations for random matrix ensembles
• Random Matrix Theory and Three-Dimensional QCD
• Novel Universal Correlations in Invariant Random-Matrix Models
• Phase structure of matrix models through orthogonal polynomials

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